Generalized Phase Retrieval: Isometries in Vector Spaces

Generalized Phase Retrieval: Isometries in Vector Spaces

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In this thesis we generalize the problem of phase retrieval of vector to that of multi-vector. The identification of the multi-vector is done up to some special classes of isometries in the space. We give some upper and lower estimates on the minimal number of multi-linear operators needed for the r...

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Bibliographic Details
Main Author: Park, Josiah
Format: Others
Published: Scholar Commons 2016
Subjects:
Phase Retrieval
Isometry
Lie Group
Inverse Problem
Algebraic Variety
Mathematics
Online Access:http://scholarcommons.usf.edu/etd/6128
http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=7324&context=etd
id ndltd-USF-oai-scholarcommons.usf.edu-etd-7324
record_format oai_dc
spelling ndltd-USF-oai-scholarcommons.usf.edu-etd-73242017-11-22T05:31:56Z Generalized Phase Retrieval: Isometries in Vector Spaces Park, Josiah In this thesis we generalize the problem of phase retrieval of vector to that of multi-vector. The identification of the multi-vector is done up to some special classes of isometries in the space. We give some upper and lower estimates on the minimal number of multi-linear operators needed for the retrieval. The results are preliminary and far from sharp. 2016-03-24T07:00:00Z text application/pdf http://scholarcommons.usf.edu/etd/6128 http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=7324&context=etd default Graduate Theses and Dissertations Scholar Commons Phase Retrieval Isometry Lie Group Inverse Problem Algebraic Variety Mathematics
collection NDLTD
format Others
sources NDLTD
topic Phase Retrieval
Isometry
Lie Group
Inverse Problem
Algebraic Variety
Mathematics
spellingShingle Phase Retrieval
Isometry
Lie Group
Inverse Problem
Algebraic Variety
Mathematics
Park, Josiah
Generalized Phase Retrieval: Isometries in Vector Spaces
description In this thesis we generalize the problem of phase retrieval of vector to that of multi-vector. The identification of the multi-vector is done up to some special classes of isometries in the space. We give some upper and lower estimates on the minimal number of multi-linear operators needed for the retrieval. The results are preliminary and far from sharp.
author Park, Josiah
author_facet Park, Josiah
author_sort Park, Josiah
title Generalized Phase Retrieval: Isometries in Vector Spaces
title_short Generalized Phase Retrieval: Isometries in Vector Spaces
title_full Generalized Phase Retrieval: Isometries in Vector Spaces
title_fullStr Generalized Phase Retrieval: Isometries in Vector Spaces
title_full_unstemmed Generalized Phase Retrieval: Isometries in Vector Spaces
title_sort generalized phase retrieval: isometries in vector spaces
publisher Scholar Commons
publishDate 2016
url http://scholarcommons.usf.edu/etd/6128
http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=7324&context=etd
work_keys_str_mv AT parkjosiah generalizedphaseretrievalisometriesinvectorspaces
_version_ 1718562715458338816

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